3.20 In Figure P3.20, a cart of mass M carrying a single pendulum (m,, L) moves vertically. Constrained by a pair of spring and damper (k, c), the cart is subject to an external force f. (а) Draw free-body diagrams for the mass elements. (b) Derive the nonlinear equations of motion for the cart-pendulum system. (c) With the results from part (b), obtain two independent differential equations of motion about y and 0. (d) Determine the expression of the tension force of the pendulum in terms of y and 0. L. m, -----

3.20 In Figure P3.20, a cart of mass M carrying a single pendulum (m,, L) moves vertically. Constrained by a pair of spring and damper (k, c), the cart is subject to an external force f. (а) Draw free-body diagrams for the mass elements. (b) Derive the nonlinear equations of motion for the cart-pendulum system. (c) With the results from part (b), obtain two independent differential equations of motion about y and 0. (d) Determine the expression of the tension force of the pendulum in terms of y and 0. L. m, -----

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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